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Aim #9.1 How do we use matrices to solve linear systems?

Learn how to solve linear systems using matrices with practical examples. Understand Gauss-Jordan elimination, reduced row echelon form, and graphing calculator usage for efficient problem-solving. Explore the main diagonal and augmented matrices for a complete grasp of the topic.

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Aim #9.1 How do we use matrices to solve linear systems?

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  1. Aim #9.1How do we use matrices to solve linear systems?

  2. Essential Questions How do we solve systems with matrices?

  3. Main Diagonal

  4. Example Write the augmented matrix for the system below. Then solve.

  5. Gauss-Jordan Elimination

  6. Graphing Calculator-Matrices, Reduced Row Echelon Form

  7. Example

  8. Example

  9. Example

  10. (a) (b) (c) (d)

  11. Summary: • How do we solve systems using matrices? • Explain. • What should your final matrix look like?

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